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268782384 = 24313430741
BaseRepresentation
bin10000000001010…
…100101100110000
3200201202120010010
4100001110230300
51022302014014
642400534520
76442420053
oct2001245460
9621676103
10268782384
111287a2202
1276021440
13438ba840
14279a8a9a
15188e4359
hex10054b30

268782384 has 40 divisors (see below), whose sum is σ = 747768112. Its totient is φ = 82702080.

The previous prime is 268782361. The next prime is 268782389. The reversal of 268782384 is 483287862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (268782389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214747 + ... + 215994.

Almost surely, 2268782384 is an apocalyptic number.

268782384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268782384 is an abundant number, since it is smaller than the sum of its proper divisors (478985728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

268782384 is a wasteful number, since it uses less digits than its factorization.

268782384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430765 (or 430759 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 268782384 is about 16394.5839837429. The cubic root of 268782384 is about 645.3573598087.

The spelling of 268782384 in words is "two hundred sixty-eight million, seven hundred eighty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 430741 861482 1292223 1722964 2584446 3445928 5168892 5599633 6891856 10337784 11199266 16798899 20675568 22398532 33597798 44797064 67195596 89594128 134391192 268782384